What is the 2884th prime number?
The 2884th prime number is 26249. The next prime is 26251 (a gap of 2) and the one before is 26237.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2884th one is 26249.
- 2
26249 is prime because no prime up to ā26249 ā 162.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2884th prime is close to 2884 Ć ln(2884) ā 22977, and here it is 26249.
- 4
26249 is a twin prime: 26249 and 26251 are both prime.
Primes around the 2884th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2881 | 26209 | 6 |
| 2882 | 26227 | 18 |
| 2883 | 26237 | 10 |
| 2884 | 26249 | 12 |
| 2885 | 26251 | 2 |
| 2886 | 26261 | 10 |
| 2887 | 26263 | 2 |
Questions
What is the 2884th prime number?
26249.
Which prime number is 26249?
26249 is the 2884th prime number.
What is the sum of the first 2884 primes?
35,532,981.